Least Common Multiple (LCM) of 179 and 157
The least common multiple (LCM) of 179 and 157 is 28103.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 179 and 157?
First, calculate the GCD of 179 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 157 = 1 remainder 22 |
| 2 | 157 ÷ 22 = 7 remainder 3 |
| 3 | 22 ÷ 3 = 7 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 37 | 6179 |
| 77 and 133 | 1463 |
| 45 and 89 | 4005 |
| 68 and 81 | 5508 |
| 112 and 106 | 5936 |